Existence conditions of framed curves for smooth curves
Abstract
A framed curve is a smooth curve in the Euclidean space with a moving frame. We call the smooth curve in the Euclidean space the framed base curve. In this paper, we give an existence condition of framed curves. Actually, we construct a framed curve such that the image of the framed base curve coincides with the image of a given smooth curve under a condition. As a consequence, polygons in the Euclidean plane can be realised as not only a smooth curve but also a framed base curve.
Journal
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- Journal of Geomentry
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Journal of Geomentry 108 (2), 763-774, 2017-01-28
Springer
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Keywords
Details
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- CRID
- 1050282676665288064
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- NII Article ID
- 120006349424
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- ISSN
- 14208997
- 00472468
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- HANDLE
- 10258/00009474
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB
- Crossref
- CiNii Articles
- KAKEN